Search a number
-
+
113531353 = 135323109
BaseRepresentation
bin1101100010001…
…01100111011001
321220121222201221
412301011213121
5213031000403
615133212041
72546000125
oct661054731
9256558657
10113531353
11590a3871
1232031021
131a6a0820
1411114585
159e78dbd
hex6c459d9

113531353 has 12 divisors (see below), whose sum is σ = 124655020. Its totient is φ = 102787776.

The previous prime is 113531351. The next prime is 113531357. The reversal of 113531353 is 353135311.

It can be written as a sum of positive squares in 6 ways, for example, as 2271049 + 111260304 = 1507^2 + 10548^2 .

It is not a de Polignac number, because 113531353 - 21 = 113531351 is a prime.

It is a super-2 number, since 2×1135313532 = 25778736228021218, which contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113531351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34963 + ... + 38071.

Almost surely, 2113531353 is an apocalyptic number.

113531353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

113531353 is a deficient number, since it is larger than the sum of its proper divisors (11123667).

113531353 is an equidigital number, since it uses as much as digits as its factorization.

113531353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3228 (or 3175 counting only the distinct ones).

The product of its digits is 2025, while the sum is 25.

The square root of 113531353 is about 10655.1092439261. The cubic root of 113531353 is about 484.2154076687.

Adding to 113531353 its reverse (353135311), we get a palindrome (466666664).

It can be divided in two parts, 11 and 3531353, that multiplied together give a palindrome (38844883).

The spelling of 113531353 in words is "one hundred thirteen million, five hundred thirty-one thousand, three hundred fifty-three".

Divisors: 1 13 53 689 2809 3109 36517 40417 164777 2142101 8733181 113531353